Dynamics of the Kuramoto Model with Bimodal Frequency Distribution on Complex Networks

We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network...

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Bibliographic Details
Published inChinese physics letters Vol. 31; no. 8; pp. 12 - 15
Main Author 冯月娥 李海红 杨俊忠
Format Journal Article
LanguageEnglish
Published 01.08.2014
Subjects
Coupling
Dynamic tests
Dynamics
Frequency distribution
Networks
Resonant frequency
Standing waves
Synchronous
分布动态
双峰
同步化
复杂网络
拓扑结构
状态
耦合强度
频率分布模型
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/31/8/080503

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Summary:We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network, the incoherent state, standing wave states and stationary synchronous states are encountered successively with the increase of the coupling strength. However, for an SF network, there exists another type of synchronous states, traveling wave states, between the standing wave states and the stationary synchronous states.
Bibliography:11-1959/O4
We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network, the incoherent state, standing wave states and stationary synchronous states are encountered successively with the increase of the coupling strength. However, for an SF network, there exists another type of synchronous states, traveling wave states, between the standing wave states and the stationary synchronous states.
FENG Yue-E, LI Hai-Hong, YANG Jun-Zhong（ School of Science, Beijing University of Posts and Telecommunications, Beijing 100876）
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content type line 23
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/8/080503